On the basis properties of a system of eigenfunctions of a spectral problem for a second-order discontinuous differential operator in the weighted grand-Lebesgue space with a general weight
Abstract:The question of the basis property of a system of eigenfunctions of one
spectral problem for a discontinuous second-order differential operator with
a spectral parameter under discontinuity conditions is considered in the
weighted grand-Lebesgue spaces Lp),?(0, 1), 1 < p < +?, with a general
weight ?(?). These spaces are non-separable and therefore it is necessary to
define its subspace associated with differential equation. In this paper,
using the shift operator, a subspace Gp),?(0, 1… Show more
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